Worked Solution
✓ VerifiedGiven Data:
Margin of Safety (₹) = ₹7,50,000 | Total Cost = ₹7,75,000 | Margin of Safety (Qty.) = 15,000 units | Break Even Sales = 5,000 units
(i) Selling Price per Unit:
Total Sales Units = Break Even Units + Margin of Safety Units = 5,000 + 15,000 = 20,000 units
Margin of Safety (₹) = Margin of Safety (Qty.) × Selling Price per unit
₹7,50,000 = 15,000 × SP → Selling Price = ₹50 per unit
(ii) Profit:
Total Sales (₹) = 20,000 units × ₹50 = ₹10,00,000
Profit = Total Sales − Total Cost = ₹10,00,000 − ₹7,75,000 = ₹2,25,000
(iii) Profit/Volume (P/V) Ratio:
Using the relationship: Profit = Margin of Safety × P/V Ratio
P/V Ratio = Profit ÷ Margin of Safety (₹) = ₹2,25,000 ÷ ₹7,50,000 = 30%
(iv) Break Even Sales (in Rupees):
Break Even Sales (₹) = Break Even Units × Selling Price = 5,000 × ₹50 = ₹2,50,000
(Cross-check: Total Sales − Margin of Safety = ₹10,00,000 − ₹7,50,000 = ₹2,50,000 ✓)
(v) Fixed Cost:
Contribution = Total Sales × P/V Ratio = ₹10,00,000 × 30% = ₹3,00,000
Variable Cost = Total Sales − Contribution = ₹10,00,000 − ₹3,00,000 = ₹7,00,000
Fixed Cost = Total Cost − Variable Cost = ₹7,75,000 − ₹7,00,000 = ₹75,000
(Cross-check: Break Even Sales × P/V Ratio = ₹2,50,000 × 30% = ₹75,000 ✓)
Write it like this
1The skeleton
- Open with a 'Given Data' box — list all four inputs in one place before touching any calculation; examiners award structure marks just for this, and it shows you're not hunting for data mid-solution.
- Derive Total Sales Units first (BEP Units + MOS Units = 20,000) — every downstream calculation flows from this, so if you bury it inside part (i) without labelling it, you lose the thread AND the examiner loses it too.
- Number each sub-part (i) to (v) with bold headings matching the question — don't run calculations together; examiners mark part-by-part and they skip messy blocks.
- Write the formula before substituting — e.g., write 'P/V Ratio = Profit ÷ Margin of Safety (₹)' on its own line, THEN plug in numbers; this earns method marks even if your arithmetic slips.
- End each part with a cross-check wherever the model answer shows one — that ✓ tick signals examiner-level confidence and converts a doubtful 4/5 into a clean 5/5.
2Examiner-rewarded phrases
3Common trap
The classic trap here is jumping straight to P/V Ratio using FC/Sales — but Fixed Cost is unknown at that stage, so you end up in circular logic and waste 3 minutes going nowhere. Lock in Selling Price first, then Profit, and P/V Ratio falls out cleanly from Profit ÷ MOS(₹).